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135,980

135,980 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

135,980 (one hundred thirty-five thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 523. Its proper divisors sum to 172,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2132C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
89,531
Square (n²)
18,490,560,400
Cube (n³)
2,514,346,403,192,000
Divisor count
24
σ(n) — sum of divisors
308,112
φ(n) — Euler's totient
50,112
Sum of prime factors
545

Primality

Prime factorization: 2 2 × 5 × 13 × 523

Nearest primes: 135,979 (−1) · 136,013 (+33)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 523 · 1046 · 2092 · 2615 · 5230 · 6799 · 10460 · 13598 · 27196 · 33995 · 67990 (half) · 135980
Aliquot sum (sum of proper divisors): 172,132
Factor pairs (a × b = 135,980)
1 × 135980
2 × 67990
4 × 33995
5 × 27196
10 × 13598
13 × 10460
20 × 6799
26 × 5230
52 × 2615
65 × 2092
130 × 1046
260 × 523
First multiples
135,980 · 271,960 (double) · 407,940 · 543,920 · 679,900 · 815,880 · 951,860 · 1,087,840 · 1,223,820 · 1,359,800

Sums & aliquot sequence

As consecutive integers: 27,194 + 27,195 + 27,196 + 27,197 + 27,198 16,994 + 16,995 + … + 17,001 10,454 + 10,455 + … + 10,466 3,380 + 3,381 + … + 3,419
Aliquot sequence: 135,980 172,132 142,364 106,780 130,100 152,434 77,966 55,714 29,066 14,536 14,264 12,496 14,288 15,472 14,536 — enters a cycle

Continued fraction of √n

√135,980 = [368; (1, 3, 13, 6, 3, 1, 1, 5, 1, 1, 8, 1, 3, 1, 6, 3, 2, 1, 1, 1, 1, 1, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred eighty
Ordinal
135980th
Binary
100001001100101100
Octal
411454
Hexadecimal
0x2132C
Base64
AhMs
One's complement
4,294,831,315 (32-bit)
Scientific notation
1.3598 × 10⁵
As a duration
135,980 s = 1 day, 13 hours, 46 minutes, 20 seconds
In other bases
ternary (3) 20220112022
quaternary (4) 201030230
quinary (5) 13322410
senary (6) 2525312
septenary (7) 1104305
nonary (9) 226468
undecimal (11) 93189
duodecimal (12) 66838
tridecimal (13) 49b80
tetradecimal (14) 377ac
pentadecimal (15) 2a455

As an angle

135,980° = 377 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεϡπʹ
Mayan (base 20)
𝋰·𝋳·𝋳·𝋠
Chinese
一十三萬五千九百八十
Chinese (financial)
壹拾參萬伍仟玖佰捌拾
In other modern scripts
Eastern Arabic ١٣٥٩٨٠ Devanagari १३५९८० Bengali ১৩৫৯৮০ Tamil ௧௩௫௯௮௦ Thai ๑๓๕๙๘๐ Tibetan ༡༣༥༩༨༠ Khmer ១៣៥៩៨០ Lao ໑໓໕໙໘໐ Burmese ၁၃၅၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135980, here are decompositions:

  • 3 + 135977 = 135980
  • 43 + 135937 = 135980
  • 67 + 135913 = 135980
  • 139 + 135841 = 135980
  • 151 + 135829 = 135980
  • 181 + 135799 = 135980
  • 193 + 135787 = 135980
  • 199 + 135781 = 135980

Showing the first eight; more decompositions exist.

Unicode codepoint
𡌬
CJK Unified Ideograph-2132C
U+2132C
Other letter (Lo)

UTF-8 encoding: F0 A1 8C AC (4 bytes).

Hex color
#02132C
RGB(2, 19, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.44.

Address
0.2.19.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.44

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 135,980 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 135980 first appears in π at position 947,803 of the decimal expansion (the 947,803ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.